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4.3.2.7. リスト関数

次の関数は、単一のスカラー値とそのような値の範囲の間の関係を確立するための時間的順序付け操作をサポートします。これらの関数は、Health Level Seven (HL7) International の Clinical Quality Language (CQL) 1.4 syntax のコンポーネントに似ています。

before( )

要素 A が要素 B の前にあり、評価が true になるための関連要件も満たされた場合は true を返します。

署名

  1. before( point1 point2 )
  2. before( point range )
  3. before( range point )
  4. before( range1,range2 )

true に評価するための要件

  1. point1 < point2
  2. point < range.start or ( point = range.start and not(range.start included) )
  3. range.end < point or ( range.end = point and not(range.end included) )
  4. range1.end < range2.start or (( not(range1.end included) or not(range2.start included) ) and range1.end = range2.start )

例

before( 1, 10 ) = true
before( 10, 1 ) = false
before( 1, [1..10] ) = false
before( 1, (1..10] ) = true
before( 1, [5..10] ) = true
before( [1..10], 10 ) = false
before( [1..10), 10 ) = true
before( [1..10], 15 ) = true
before( [1..10], [15..20] ) = true
before( [1..10], [10..20] ) = false
before( [1..10), [10..20] ) = true
before( [1..10], (10..20] ) = true

after( )

要素 A が要素 B の後にあり、評価が true になるための関連要件も満たされた場合は true を返します。

署名

  1. after( point1 point2 )
  2. after( point range )
  3. after( range, point )
  4. after( range1 range2 )

true に評価するための要件

  1. point1 > point2
  2. point > range.end or ( point = range.end and not(range.end included) )
  3. range.start > point or ( range.start = point and not(range.start included) )
  4. range1.start > range2.end or (( not(range1.start included) or not(range2.end included) ) and range1.start = range2.end )

例

after( 10, 5 ) = true
after( 5, 10 ) = false
after( 12, [1..10] ) = true
after( 10, [1..10) ) = true
after( 10, [1..10] ) = false
after( [11..20], 12 ) = false
after( [11..20], 10 ) = true
after( (11..20], 11 ) = true
after( [11..20], 11 ) = false
after( [11..20], [1..10] ) = true
after( [1..10], [11..20] ) = false
after( [11..20], [1..11) ) = true
after( (11..20], [1..11] ) = true

meets( )

要素 A が要素 B を満たし、true に評価されるための関連要件も満たされた場合は true を返します。

署名

  1. meets( range1, range2 )

true に評価するための要件

  1. range1.end included and range2.start included and range1.end = range2.start

例

meets( [1..5], [5..10] ) = true
meets( [1..5), [5..10] ) = false
meets( [1..5], (5..10] ) = false
meets( [1..5], [6..10] ) = false

met by( )

要素 A が要素 B によって満たされ、評価が true になるための関連要件も満たされた場合は true を返します。

署名

  1. met by( range1, range2 )

true に評価するための要件

  1. range1.start included and range2.end included and range1.start = range2.end

例

met by( [5..10], [1..5] ) = true
met by( [5..10], [1..5) ) = false
met by( (5..10], [1..5] ) = false
met by( [6..10], [1..5] ) = false

overlaps( )

要素 A が要素 B とオーバーラップし、評価が true になるための関連要件も満たされた場合は true を返します。

署名

  1. overlaps( range1, range2 )

true に評価するための要件

  1. ( range1.end > range2.start or (range1.end = range2.start and (range1.end included or range2.end included)) ) and ( range1.start < range2.end or (range1.start = range2.end and range1.start included and range2.end included) )

例

overlaps( [1..5], [3..8] ) = true
overlaps( [3..8], [1..5] ) = true
overlaps( [1..8], [3..5] ) = true
overlaps( [3..5], [1..8] ) = true
overlaps( [1..5], [6..8] ) = false
overlaps( [6..8], [1..5] ) = false
overlaps( [1..5], [5..8] ) = true
overlaps( [1..5], (5..8] ) = false
overlaps( [1..5), [5..8] ) = false
overlaps( [1..5), (5..8] ) = false
overlaps( [5..8], [1..5] ) = true
overlaps( (5..8], [1..5] ) = false
overlaps( [5..8], [1..5) ) = false
overlaps( (5..8], [1..5) ) = false

overlaps before( )

要素 A が要素 B の前にオーバーラップし、評価が true になるための関連要件も満たされた場合は true を返します。

署名

  1. overlaps before( range1 range2 )

true に評価するための要件

  1. ( range1.start < range2.start or (range1.start = range2.start and range1.start included and range2.start included) ) and ( range1.end > range2.start or (range1.end = range2.start and range1.end included and range2.start included) ) and ( range1.end < range2.end or (range1.end = range2.end and (not(range1.end included) or range2.end included )) )

例

overlaps before( [1..5], [3..8] ) = true
overlaps before( [1..5], [6..8] ) = false
overlaps before( [1..5], [5..8] ) = true
overlaps before( [1..5], (5..8] ) = false
overlaps before( [1..5), [5..8] ) = false
overlaps before( [1..5), (1..5] ) = true
overlaps before( [1..5], (1..5] ) = true
overlaps before( [1..5), [1..5] ) = false
overlaps before( [1..5], [1..5] ) = false

overlaps after( )

要素 A が要素 B の後にオーバーラップする場合に、評価が true になるための関連要件も満たされた場合は true を返します。

署名

  1. overlaps after( range1 range2 )

true に評価するための要件

  1. ( range2.start < range1.start or (range2.start = range1.start and range2.start included and not( range1.start included)) ) and ( range2.end > range1.start or (range2.end = range1.start and range2.end included and range1.start included) ) and ( range2.end < range1.end or (range2.end = range1.end and (not(range2.end included) or range1.end included)) )

例

overlaps after( [3..8], [1..5] )= true
overlaps after( [6..8], [1..5] )= false
overlaps after( [5..8], [1..5] )= true
overlaps after( (5..8], [1..5] )= false
overlaps after( [5..8], [1..5) )= false
overlaps after( (1..5], [1..5) )= true
overlaps after( (1..5], [1..5] )= true
overlaps after( [1..5], [1..5) )= false
overlaps after( [1..5], [1..5] )= false
overlaps after( (1..5), [1..5] )= false
overlaps after( (1..5], [1..6] )= false
overlaps after( (1..5], (1..5] )= false
overlaps after( (1..5], [2..5] )= false

finishes( )

要素 A が要素 B を終了し、評価が true になるための関連要件も満たされた場合は true を返します。

署名

  1. finishes( point, range )
  2. finishes( range1, range2 )

true に評価するための要件

  1. range.end included and range.end = point
  2. range1.end included = range2.end included and range1.end = range2.end and ( range1.start > range2.start or (range1.start = range2.start and (not(range1.start included) or range2.start included)) )

例

finishes( 10, [1..10] ) = true
finishes( 10, [1..10) ) = false
finishes( [5..10], [1..10] ) = true
finishes( [5..10), [1..10] ) = false
finishes( [5..10), [1..10) ) = true
finishes( [1..10], [1..10] ) = true
finishes( (1..10], [1..10] ) = true

finished by( )

要素 A が要素 B によって終了し、評価が true になるための関連要件も満たされた場合は true を返します。

署名

  1. finished by( range, point )
  2. finished by( range1 range2 )

true に評価するための要件

  1. range.end included and range.end = point
  2. range1.end included = range2.end included and range1.end = range2.end and ( range1.start < range2.start or (range1.start = range2.start and (range1.start included or not(range2.start included))) )

例

finished by( [1..10], 10 ) = true
finished by( [1..10), 10 ) = false
finished by( [1..10], [5..10] ) = true
finished by( [1..10], [5..10) ) = false
finished by( [1..10), [5..10) ) = true
finished by( [1..10], [1..10] ) = true
finished by( [1..10], (1..10] ) = true

includes( )

要素 A が要素 B を含み、評価が true になるための関連要件も満たされた場合は true を返します。

署名

  1. includes( range, point )
  2. includes( range1, range2 )

true に評価するための要件

  1. (range.start < point and range.end > point) or (range.start = point and range.start included) or (range.end = point and range.end included)
  2. ( range1.start < range2.start or (range1.start = range2.start and (range1.start included or not(range2.start included))) ) and ( range1.end > range2.end or (range1.end = range2.end and (range1.end included or not(range2.end included))) )

例

includes( [1..10], 5 ) = true
includes( [1..10], 12 ) = false
includes( [1..10], 1 ) = true
includes( [1..10], 10 ) = true
includes( (1..10], 1 ) = false
includes( [1..10), 10 ) = false
includes( [1..10], [4..6] ) = true
includes( [1..10], [1..5] ) = true
includes( (1..10], (1..5] ) = true
includes( [1..10], (1..10) ) = true
includes( [1..10), [5..10) ) = true
includes( [1..10], [1..10) ) = true
includes( [1..10], (1..10] ) = true
includes( [1..10], [1..10] ) = true

during( )

要素 A が要素 B の間にあり、 true に評価するための関連要件も満たされた場合は true を返します。

署名

  1. during( point, range )
  2. during( range1 range2 )

true に評価するための要件

  1. (range.start < point and range.end > point) or (range.start = point and range.start included) or (range.end = point and range.end included)
  2. ( range2.start < range1.start or (range2.start = range1.start and (range2.start included or not(range1.start included))) ) and ( range2.end > range1.end or (range2.end = range1.end and (range2.end included or not(range1.end included))) )

例

during( 5, [1..10] ) = true
during( 12, [1..10] ) = false
during( 1, [1..10] ) = true
during( 10, [1..10] ) = true
during( 1, (1..10] ) = false
during( 10, [1..10) ) = false
during( [4..6], [1..10] ) = true
during( [1..5], [1..10] ) = true
during( (1..5], (1..10] ) = true
during( (1..10), [1..10] ) = true
during( [5..10), [1..10) ) = true
during( [1..10), [1..10] ) = true
during( (1..10], [1..10] ) = true
during( [1..10], [1..10] ) = true

starts( )

要素 A が要素 B を開始し、評価が true になるための関連要件も満たされた場合は true を返します。

署名

  1. starts( point, range )
  2. starts( range1, range2 )

true に評価するための要件

  1. range.start = point and range.start included
  2. range1.start = range2.start and range1.start included = range2.start included and ( range1.end < range2.end or (range1.end = range2.end and (not(range1.end included) or range2.end included)) )

例

starts( 1, [1..10] ) = true
starts( 1, (1..10] ) = false
starts( 2, [1..10] ) = false
starts( [1..5], [1..10] ) = true
starts( (1..5], (1..10] ) = true
starts( (1..5], [1..10] ) = false
starts( [1..5], (1..10] ) = false
starts( [1..10], [1..10] ) = true
starts( [1..10), [1..10] ) = true
starts( (1..10), (1..10) ) = true

started by( )

要素 A が要素 B によって開始し、評価が true になるための関連要件も満たされた場合は true を返します。

署名

  1. started by( range, point )
  2. started by( range1, range2 )

true に評価するための要件

  1. range.start = point and range.start included
  2. range1.start = range2.start and range1.start included = range2.start included and ( range2.end < range1.end or (range2.end = range1.end and (not(range2.end included) or range1.end included)) )

例

started by( [1..10], 1 ) = true
started by( (1..10], 1 ) = false
started by( [1..10], 2 ) = false
started by( [1..10], [1..5] ) = true
started by( (1..10], (1..5] ) = true
started by( [1..10], (1..5] ) = false
started by( (1..10], [1..5] ) = false
started by( [1..10], [1..10] ) = true
started by( [1..10], [1..10) ) = true
started by( (1..10), (1..10) ) = true

coincides( )

要素 A が要素 B に一致し、評価が true になるための関連要件も満たされた場合は true を返します。

署名

  1. coincides( point1, point2 )
  2. coincides( range1, range2 )

true に評価するための要件

  1. point1 = point2
  2. range1.start = range2.start and range1.start included = range2.start included and range1.end = range2.end and range1.end included = range2.end included

例

coincides( 5, 5 ) = true
coincides( 3, 4 ) = false
coincides( [1..5], [1..5] ) = true
coincides( (1..5), [1..5] ) = false
coincides( [1..5], [2..6] ) = false

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